MCQOPTIONS
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MCQOPTIONS
This section includes 1292 Mcqs, each offering curated multiple-choice questions to sharpen your Quantitative Aptitude knowledge and support exam preparation. Choose a topic below to get started.
| 251. |
PQRS is a square whose side is 20 cm. By joining opposite vertices of PQRS, four triangles have been formed. What is the sum of the perimeters of the four triangles? |
| A. | 40√2 |
| B. | 80√2 + 80 |
| C. | 40√2 + 40 |
| D. | 40√2 + 80 |
| Answer» C. 40√2 + 40 | |
| 252. |
In figure ‘o’ is the centre of a circle. The area of sector OAPB is 5/18 of the area of the circle find x. |
| A. | 120 degrees |
| B. | 100 degrees |
| C. | 125 degrees |
| D. | 115 degrees |
| Answer» C. 125 degrees | |
| 253. |
If the radius of a sphere is rational, then which of the following is/are correct?1. Its surface area is rational.2. Its volume is rational.Select the correct answer using the code given below: |
| A. | 1 only |
| B. | 2 only |
| C. | Both 1 and 2 |
| D. | Neither 1 nor 2 |
| Answer» E. | |
| 254. |
Into a cylindrical tub containing water to a depth of 20 cm, tiny spherical balls are dropped and the level of water rises by 6.75 cm. If the cylinder has a radius 12 cm and the number of balls dropped is 27, then find the radius of the ball. |
| A. | 3 cm |
| B. | 1.5 cm |
| C. | 3.5 cm |
| D. | 2.5 cm |
| Answer» B. 1.5 cm | |
| 255. |
In ΔABC, AB = 7 cm, BC = 24 cm and AC = 25 cm. If G is the centroid of the triangle, then what is the length (in cm) of BG? |
| A. | \(8\frac{1}{3}\) |
| B. | \(8\frac{2}{3}\) |
| C. | 9 |
| D. | 10 |
| Answer» B. \(8\frac{2}{3}\) | |
| 256. |
In the given figure, ABCD is a square of side 14 cm. E and F are mid points of sides AB and DC respectively. EPF is a semicircle whose diameter is EF. LMNO is a square. What is the area (in cm2) of the shaded region? |
| A. | 108.5 |
| B. | 94.5 |
| C. | 70 |
| D. | 120 |
| Answer» C. 70 | |
| 257. |
A horse is tied with a rope of 14 m in length at a corner of square field of arm 16 m. Find the area of the field that is out of reach of the horse. |
| A. | 95 m2 |
| B. | 72 m2 |
| C. | 102 m2 |
| D. | 112 m2 |
| Answer» D. 112 m2 | |
| 258. |
If the circumference of a circle is 44 cm, then what must be its area (in cm²)? |
| A. | 308 |
| B. | 240 |
| C. | 154 |
| D. | 480 |
| Answer» D. 480 | |
| 259. |
In ΔPQR, if ∠R = 90∘, then angles P and Q are _______. |
| A. | Supplementary |
| B. | Complementary |
| C. | Equal |
| D. | 45∘ each |
| Answer» C. Equal | |
| 260. |
If the radius of a circle becomes 19 times of itself, then the new circumference will be what times of the actual circumference? |
| A. | 20 |
| B. | 19 |
| C. | 21 |
| D. | 18 |
| Answer» C. 21 | |
| 261. |
Four cubic meters of metal is required to prepare an iron sheet of area 20,000 square meter. What is the thickness (in cm) of the sheet? |
| A. | 0.02 |
| B. | 0.002 |
| C. | 0.2 |
| D. | 2 |
| Answer» B. 0.002 | |
| 262. |
An equilateral triangle of side 12 cm is drawn. What is the area (in cm2) of the largest square which can be drawn inside it? |
| A. | 1512 – 864√3 |
| B. | 3024 – 1728√3 |
| C. | 3024 + 1728√3 |
| D. | 1512 + 864√3 |
| Answer» C. 3024 + 1728√3 | |
| 263. |
Find mass of an iron cube of side 2 cm. (Density of iron is 7.8 gm/cm3) |
| A. | 3.9 gm |
| B. | 0.975 gm |
| C. | 15.6 gm |
| D. | 62.4 gm |
| Answer» E. | |
| 264. |
A cube of 13√3 cm diagonals is melted to a cuboid. If the length of the cuboid is similar to the back of the cube and the width is 6.5 cm, then what will be the height of the cuboid? |
| A. | 32 cm |
| B. | 28 cm |
| C. | 24 cm |
| D. | 26 cm |
| Answer» E. | |
| 265. |
In the given circle, chord \(\overline {AB}\) is extended to meet the tangent \(\overline {DE}\) at D. If \(\overline {AB}\) = 10 cm and \(\overline {DE}\) 12 cm, what is the length of B̅D̅? |
| A. | 7 cm |
| B. | 8 cm |
| C. | 9 cm |
| D. | \(2\sqrt {21} \;cm\) |
| Answer» C. 9 cm | |
| 266. |
A tank of 5 m long, 3 m wide and 2 m deep is dug in a field of 31.5 m long and 10 m wide. If the earth dug out is evenly spread out over the area of a field excluding tank area, the rise in the level of field is |
| A. | 1 m |
| B. | 0.5 m |
| C. | 0.1 m |
| D. | 0.3 m |
| Answer» D. 0.3 m | |
| 267. |
A bycle wheel makes 5000 revolutions in moving 11 km. How much cms will be the diameter of the wheel? |
| A. | 60 |
| B. | 80 |
| C. | 50 |
| D. | 70 |
| Answer» E. | |
| 268. |
Height of a right circular cylinder is 20 cm. If the radius of its base is 14 cm, then what will be the curved surface area of the cylinder? |
| A. | 1940 cm2 |
| B. | 2120 cm2 |
| C. | 1760 cm2 |
| D. | 1880 cm2 |
| Answer» D. 1880 cm2 | |
| 269. |
An equilateral triangle and a square are constructed using metallic wires of equal length. What is the ratio of the area of the triangle to that of the square? |
| A. | 3 : 4 |
| B. | 2 : 3 |
| C. | 4√3 : 9 |
| D. | 2√3 : 9 |
| Answer» D. 2√3 : 9 | |
| 270. |
In the figure given below, ABCD is the diameter of a circle of radius 9 cm. The lengths AB, BC and CD are equal. Semicircles are drawn on AB and BD as diameters as shown in the figure. What is the area of the shaded region? |
| A. | 9π |
| B. | 27π |
| C. | 36π |
| D. | 81π |
| Answer» C. 36π | |
| 271. |
How many surfaces are there in a cube? |
| A. | 12 |
| B. | 8 |
| C. | 6 |
| D. | 10 |
| Answer» D. 10 | |
| 272. |
PQRS is a rectangle and the diagonal PR and QS meet at 'O'. If PR = ( x + 6) and OQ = 17 cm, then 'x' = _____. |
| A. | 11 cm |
| B. | 29 cm |
| C. | 23 cm |
| D. | 28 cm |
| Answer» E. | |
| 273. |
Radius of base and height of a cylinder are 28 cm and 5 cm respectively. What will be the curved surface area of cylinder? |
| A. | 440 cm2 |
| B. | 880 cm2 |
| C. | 1760 cm2 |
| D. | 1540 cm2 |
| Answer» C. 1760 cm2 | |
| 274. |
In an equilateral triangle, the value of each exterior angle is: |
| A. | 140° |
| B. | 130° |
| C. | 120° |
| D. | 100° |
| Answer» D. 100° | |
| 275. |
A metallic sphere of radius 8.4 cm is melted and recast in to the shape of a cylinder of radius 12 cm. Find the height of the cylinder. |
| A. | 5.488 cm |
| B. | 5.478 cm |
| C. | 5.848 cm |
| D. | 5.884 cm |
| Answer» B. 5.478 cm | |
| 276. |
A room 5 m 44 cm long and 3 m 74 cm broad is to be pared with square tiles. Find the least number of square tiles required to cover the floor. |
| A. | 116 |
| B. | 136 |
| C. | 156 |
| D. | 176 |
| Answer» E. | |
| 277. |
From an interior point of an equilateral triangle, perpendiculars are drawn on all three sides. The sum of the lengths of the three perpendiculars is s. Then the area of triangle is |
| A. | \(\frac{{2{s^2}}}{{\sqrt 3 }}\) |
| B. | \(\frac{{{s^2}}}{{2\sqrt 3 }}\) |
| C. | \(\frac{{\sqrt 3 {s^2}}}{2}\) |
| D. | \(\frac{{{s^2}}}{{\sqrt 3 }}\) |
| Answer» E. | |
| 278. |
In the given figure, ABCD is a rhombus and BCE is an isosceles triangle, with BC = CE, ∠CBE = 84° and ∠ADC = 78°, then what is the value (in degrees) of ∠DEC? |
| A. | 20 |
| B. | 28 |
| C. | 33 |
| D. | 36 |
| Answer» D. 36 | |
| 279. |
If an arc of a circle of radius r subtends an angle 30° at the centre, the length of the arc is: |
| A. | (r/3) π |
| B. | (r/9)π |
| C. | (r/2) π |
| D. | (r/6) π |
| Answer» E. | |
| 280. |
A solid metallic sphere of radius 8.4 cm is melted and recast into a right circular cylinder of radius 12 cm. What is the height of the cylinder? (Your answer should be correct to one decimal place.) |
| A. | 6.5 cm |
| B. | 6.0 cm |
| C. | 70 cm |
| D. | 5.5 cm |
| Answer» E. | |
| 281. |
Find Pythagorean triplet of which smallest number is 8. |
| A. | 6, 8, 10 |
| B. | 8, 9, 10 |
| C. | 8, 15, 17 |
| D. | 8, 64, 512 |
| Answer» D. 8, 64, 512 | |
| 282. |
Length of a rectangular hall is 4/3 times of its breadth. If area of a hall is 300 square meter then what is the difference between length and breadth of hall? |
| A. | 20 meters |
| B. | 4 meters |
| C. | 3 meters |
| D. | 5 meters |
| Answer» E. | |
| 283. |
Diameter of a wheel is 3 m. The wheel revolves 28 times in a minute. To cover 5.280 km distance the wheel will take (π = 22 / 7) |
| A. | 10 min |
| B. | 20 min |
| C. | 30 min |
| D. | 40 min |
| Answer» C. 30 min | |
| 284. |
Find the area (in cm2) of a semi-circle of radius 21 cm. |
| A. | 1386 |
| B. | 960 |
| C. | 693 |
| D. | 1920 |
| Answer» D. 1920 | |
| 285. |
One side of an equilateral triangle measures 12 cm. What is the area of the triangle? |
| A. | 72 cm2 |
| B. | 36 cm2 |
| C. | 36√3 cm2 |
| D. | 36√2 cm2 |
| Answer» D. 36√2 cm2 | |
| 286. |
A shuttle cock used for playing badminton has the shape of a frustum of a cone mounted on a hemisphere. The external diameters of the frustum are 5 cm and 2 cm, the height of the entire shuttle cock is 7 cm. Find the external surface area. |
| A. | 84.30 cm2 |
| B. | 80 cm2 |
| C. | 74.29 cm2 |
| D. | 63.38 cm2 |
| Answer» D. 63.38 cm2 | |
| 287. |
Find out the area? |
| A. | 2400 sq cm |
| B. | 1000 sq cm |
| C. | 600 sq cm |
| D. | 1200 sq cm |
| Answer» D. 1200 sq cm | |
| 288. |
If the angles of the triangle are in the ratio 2 : 3 : 4, find all the three angles. |
| A. | 40°, 60°, 80° |
| B. | 20°, 40°, 60° |
| C. | 30°, 60°, 90° |
| D. | 90°, 180°, 360° |
| Answer» B. 20°, 40°, 60° | |
| 289. |
An arc of length 121 cm makes an angle 77° at the centre of a circle. The radius of the circle is |
| A. | 110 cm |
| B. | 100 cm |
| C. | 90 cm |
| D. | 70 cm |
| Answer» D. 70 cm | |
| 290. |
A parallelogram has sides of 5 cm and 4 cm. If the distance between the longer sides is 2 cm, then what is the distance between the shorter sides? |
| A. | 2.5 cm |
| B. | 3.0 cm |
| C. | 3.5 cm |
| D. | 5.0 cm |
| Answer» B. 3.0 cm | |
| 291. |
How many balls of radius 3 cm can be made by melting a bigger ball of diameter 48 cm? |
| A. | 1024 |
| B. | 512 |
| C. | 64 |
| D. | 256 |
| Answer» C. 64 | |
| 292. |
A room is in the shape of a cuboid, with dimensions 12m × 10m × 3m. What is the cost of painting the four walls of the room at the rate of Rs. 50 per m2? |
| A. | Rs. 15600 |
| B. | Rs. 15000 |
| C. | Rs. 6600 |
| D. | Rs. 7500 |
| Answer» D. Rs. 7500 | |
| 293. |
An isosceles triangle is drawn outside of one of the sides of a square as base in such a way that the perimeter of the complete figure is 7/6 times the perimeter of the complete original square. What is the ratio of area of the triangle to the area of the original square? |
| A. | 1 : 1 |
| B. | 2 : 3 |
| C. | 1 : 2 |
| D. | 1 : 3 |
| Answer» E. | |
| 294. |
How many diagonals are there in an octagon? |
| A. | 8 |
| B. | 16 |
| C. | 18 |
| D. | 20 |
| Answer» E. | |
| 295. |
A rectangular water tank is 4 m × 2 m × 3 m. What is the capacity of the water tank? |
| A. | 90000 |
| B. | 24000000 |
| C. | 24000 |
| D. | 2400 |
| Answer» D. 2400 | |
| 296. |
If the length of one side and the diagonal of a rectangle are 8 cm and 17 cm respectively, then find its perimeter (in cm). |
| A. | 92 |
| B. | 48 |
| C. | 46 |
| D. | 96 |
| Answer» D. 96 | |
| 297. |
Area of a Trapezium with parallel sides a and b and having distance h between them is given by |
| A. | (a + b) h |
| B. | \(\frac{1}{2}\)(a + b) h |
| C. | \(\frac{1}{3}\)(a + b) h |
| D. | 2(a + b) h |
| Answer» C. \(\frac{1}{3}\)(a + b) h | |
| 298. |
An arc of a circle subtends an angle π at the centre. If the length of the arc is 22 cm, then what is the radius of the circle?(Take π = 22/7) |
| A. | 5 cm |
| B. | 7 cm |
| C. | 9 cm |
| D. | 11 cm |
| Answer» C. 9 cm | |
| 299. |
A hollow sphere is melted to form small identical hollow spheres. Inner and outer radius of the bigger sphere are 4 cm and 6 cm respectively. If inner and outer radii of the smaller sphere are 2 cm and 3 cm respectively, then how many smaller spheres can be formed? |
| A. | 4 |
| B. | 8 |
| C. | 6 |
| D. | 12 |
| Answer» C. 6 | |
| 300. |
A chord of the larger among two concentric circles is of length 10 cm and it is tangent to the smaller circle. What is the area (in cm2) of the annular portion between the two circles? |
| A. | 5 π |
| B. | 10 π |
| C. | 25 π |
| D. | 5 π/2 |
| Answer» D. 5 π/2 | |